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Finding the Fourth Proportional to 150,694.16, 207,966.12 and 83,627.60

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Solution

The fourth proportional to 150,694.16, 207,966.12 and 83,627.60 is: 115,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,694.16 : 207,966.12 = 83,627.60 : x
  2. Step 2: Convert to fraction form
    150,694.16/207,966.12 = 83,627.60/x
  3. Step 3: Cross multiply
    150,694.16x = 207,966.12 × 83,627.60
  4. Step 4: Simplify right side
    150,694.16x = 17,391,707,496.91
  5. Step 5: Solve for x
    x = 17,391,707,496.91/150,694.16
  6. Step 6: Final answer
    x = 115,410.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.